vf2 = vi2 +ad, where vf is the final velocity, vi is the initial velocity, a is acceleration, and d is displacement. In physics, velocity is the change in position of an object over a given time interval, and change in position is displacement, rather than distance.
To find displacement, manipulate the equation in the following manner. Assume vi is zero.
vf2 = 0 + 2ad
vf2 = 2ad
vf2/2a = 2ad/2a
vf2/2a = d
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To find the distance using final velocity and minimum acceleration, you can use the formula: distance = (final velocity)^2 / (2 * acceleration). Simply square the final velocity, then divide by 2 times the minimum acceleration to get the distance traveled.
The equation that relates the distance traveled by a constantly accelerating object to its initial velocity, final velocity, and time is the equation of motion: [ \text{distance} = \frac{1}{2} \times (\text{initial velocity} + \text{final velocity}) \times \text{time} ] This equation assumes constant acceleration.
You can use the equation: distance = (initial velocity + final velocity) / 2 * time. This formula assumes constant acceleration.
To find the acceleration of an object moving in a straight line, you must calculate the change in velocity during a unit of time. Acceleration is the rate of change of velocity over time, not distance. It is given by the formula acceleration = (final velocity - initial velocity) / time.
You can use the equation: Displacement = (final velocity squared - initial velocity squared) / (2 * acceleration). Plug in the values of final velocity, initial velocity, and acceleration to calculate the displacement.
If the velocity is uniform, then the final velocity and the initial velocity are the same. Perhaps you meant to say uniform acceleration. In any event, the question needs to be stated more precisely.